Graph (5pi)/4

Problem

(5*π)/4

Solution

1. Identify the angle in radians. The given value is (5*π)/4

2. Convert the angle to degrees to better visualize its position on the coordinate plane.

(5*π)/4⋅180/π=225

3. Determine the quadrant. Since 180<225<270 the terminal side of the angle lies in Quadrant III.

4. Find the reference angle. Subtract 180 (or π from the angle.

(5*π)/4−π=π/4

π/4=45

5. Sketch the angle starting from the positive x-axis (standard position) and rotating counter-clockwise 225 into the third quadrant, exactly halfway between the negative x-axis and the negative y-axis.

Final Answer

θ=(5*π)/4=225

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